Mertens' theorem for toral automorphisms
arXiv:0801.2082 · doi:10.1090/S0002-9939-2010-10632-9
Abstract
A dynamical Mertens' theorem for ergodic toral automorphisms with error term O(N^{-1}) is found, and the influence of resonances among the eigenvalues of unit modulus is examined. Examples are found with many more, and with many fewer, periodic orbits than expected.
Revised